Thermo-mechanical deformation in magneto micropolar thermoelastic medium with modified Fourier and Ohm's law

• Autorzy: Singh R. , Kumar V.
• Języki publikacji: EN

Abstrakty

EN

The present investigation is concerned with a two dimensional problem in a magnetic micropolar thermoelastic half space, whose surface is subjected to thermo-mechanical sources in the presence of transverse magnetic field with modified Ohm's and Fourier's law. The Laplace and Fourier transforms are used to solve the problem. As an application, concentrated normal force and thermal source are taken to illustrate the utility of the approach. The transformed components of displacement, stress, couple stress, electric field and current density vector are derived. Some special cases of interest are also deduced from the present investigation.

Słowa kluczowe

EN

micropolar elastic medium; thermo-mechanical sources; modified Fourier's law

PL

termomechanika; transformacja Fouriera; prawo Ohma

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2011
• Tom: Vol. 16, no 1
• Strony: 83--105
• Opis fizyczny: Bibliogr. 23 poz., wykr.

Twórcy

autor

Singh R.

autor

Kumar V.

• Department of Mathematics SGAD Govt. College, Tarantaran, INDIA,

Bibliografia

• Bakashi A., Bera R.K. and Debnath L. (2005): A study of magneto-thermo elastic problems with thermal relaxation and heat sources in a three dimensional infinite rotating elastic medium. - Int. J. of Eng. Sci., vol.43, pp.1419-1434.
• Banos A.(1956): Normal modes characterizing magneto-elastic plane waves. - Phys. Rev., vol.104, pp.300-305.
• Chadwick P. (1957): Elastic waves propagated in magnetic. - IX cong. Inter. De Macan. Appl., vol.7, pp.143-158.
• Charderasekhariah D.S. (1972): Magneto-thermal-elastic plane waves in micropolar elasticity. - Tensor N.S., vol.25.
• Charderasekhariah D.S. (1975): On plane waves in asymmetric magneto-thermo-elasticity. - J. of Math. and Phy. Sci., vol.9, No.1.
• Eringen A.C. (1966): Linear theory of micropolar elasticity. - J. Math. Mech., vol.15, pp.909-923.
• Eringen A.C. (1966): Theory of micropolar fluids. - J. Math. Mech, vol.16, pp.1-18.
• Eringen A.C. (1976): Nonlocal polar field theories in continuum physics (edited by A.C. Eringen). - New York: Academic Press, vol.4, pp.205-267.
• Ezzat M.A. and Yoursef H.M. (2005): Generalized magneto-thermo-elasticity in perfectly conducting medium. - Int J. of Eng. Sci., vol.42, pp.6319-6334.
• Ezzat M.A. and Emad S.A.(2009): Micropolar generalized magneto-thermoelasticity with modified Ohm's and Fourier's laws. - J. of Math. and Appl., vol.353, pp.99-113.
• Green A.E. and Lindsay K.A. (1972): Thermoelasticities. - J. Elasticity, vol.2, pp.1-7.
• Green A.E. and Laws N. (1972): On the entropy production inequality. - Arch. Ration. Mech. Anal., vol.45, pp.47-53.
• Honig G. and Hirdes U. (1984): A method for the numerical inversion of Laplace transform. - J. Comput. Appl. Math., vol.10, pp.113.
• Kaliski S. (1968): Thermal-magneto-micro elasticity. - Bull De L'Academic Polonaise des Sciences serie des Sciences techniques, vol.16, pp.1.
• Kaliski S. and Nowacki W. (1970): Wave-Type Equation of thermo-magneto-microelasticity. - Bull. De L'Academic Polonaise des Sciences serie des Sciences techniques, vol.18, pp.4.
• Knopoff L. (1955): The interaction between the elastic motion and the magnetic field in electrical conductors. - J. Geophys., Rea.60, pp.441-455.
• Lord H. and Shulman Y. (1967): A generalized dynamical theory of thermo elasticity. - J. Mech. Phys. Solid, vol.15, pp.299-309.
• Muller I.M. (1971): The coldness of a universal function in thermoelastic bodies. - Arch. Ration. Mech. Analy., vol.41, pp.299-309.
• Nowacki W. (1971): Two dimension problem of micropolar magnetoelasticity. - L'Academic Polonaise des Sciences Serie des Sciences Techniques, vol.19, No.4.
• Press W.H., Teukolshy S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes in FORTRAN 2nd edn. - Cambridge University Press.
• Purshothama C.M. (1966): Propagation of small disturbances to magneto-elastics. - Proc. Indian Acd. Sci. A., vol.63, pp.53-57.
• Suhubi E.S. (1975): Thermoelastic solids. - New York: A.C. Eringen (Ed.) continuum physics, Academic press, vol.2 part 2, chapter 2.
• Willson A.C. (1966): The propagation of magneto-thermo-elastic plane waves. - Proc. Cambridge Phil. SCO., vol.62, pp.91-96.